melissa this question is secondary level
Q:(involes with related rates) please help i'm not even sure how to set up the picture for this problem? Hi Melissa,
I drew the diagram below. L is the lighthouse, P is the closest point on the shoreline and S is the spot where the light hits the shoreline. L and P are fixed but S moves as the light rotates. I labeled the angle PLS as theta and the changing length SP as x. Since the light makes 4 revolutions per minute theta changes 4(2 pi) = 8 pi radians every minute. Hence radians per minute. From the diagram the tangent of theta is ^{x}/_{3}. Can you complete the problem now? Penny
